{
  "capability_id": "math.antilog",
  "tool_id": "anti-log",
  "engine": "antilog",
  "calculation_version": "1.0.6",
  "generated_at": "2026-10-22T08:54:35.079Z",
  "engine_build": "2026-10-14",
  "test_count": 33,
  "passed": 33,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "passed": 14,
      "total": 14
    },
    "boundary": {
      "passed": 19,
      "total": 19
    },
    "property": {
      "passed": 0,
      "total": 0
    }
  },
  "engine_tested": true,
  "expert_reviewed": false,
  "internally_reviewed": false,
  "review_kind": null,
  "source_checked": true,
  "reviewed_by": null,
  "reviewer_role": null,
  "last_reviewed": null,
  "expert_review": {
    "status": "optional_not_performed",
    "reviewer": null,
    "scope": [
      "formula",
      "input semantics",
      "assumptions",
      "limitations",
      "sources",
      "tests"
    ],
    "note": "Domain expert review is optional under CVP (CVP-EXP-01). Absence does not block CVP Verified. See Review policy for supplemental domain assurance."
  },
  "internal_review": {
    "status": "not_applicable",
    "reviewer": null
  },
  "page": "https://www.calculatorx.com/calc/math/anti-log",
  "api": "https://www.calculatorx.com/api/v1/calc/anti-log",
  "schema_input": "https://www.calculatorx.com/schemas/math.antilog.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/math.antilog.output.json",
  "assumptions": [
    "Real arithmetic; base b > 0 and b ≠ 1.",
    "Result x is positive for real y when b > 0."
  ],
  "limitations": [
    "Base must be > 0 and ≠ 1 → INVALID_BASE",
    "Missing y → MISSING_REQUIRED_INPUT; overflow/underflow → RESULT_OVERFLOW / RESULT_UNDERFLOW"
  ],
  "boundary_conditions": [
    "Invalid base (≤ 0 or 1) returns INVALID_BASE.",
    "0 < b < 1 is valid (for example 0.5² = 0.25).",
    "y = 0 returns 1 for every valid base.",
    "Extreme |y| may overflow (RESULT_OVERFLOW) or underflow (RESULT_UNDERFLOW)."
  ],
  "sources": [
    {
      "title": "NIST Digital Library of Mathematical Functions, Chapter 4",
      "section": "Logarithm, Exponential, Powers",
      "url": "https://dlmf.nist.gov/4",
      "supports": "Logarithm and exponential as inverse operations; antilog is exponentiation x = b^y",
      "kind": "reference"
    },
    {
      "title": "NIST DLMF §4.2",
      "section": "Logarithm: definitions and inverse of the exponential",
      "url": "https://dlmf.nist.gov/4.2",
      "supports": "b^(log_b x) = x and log_b(b^y) = y for valid real b and x",
      "kind": "reference",
      "publisher": "National Institute of Standards and Technology"
    },
    {
      "title": "CalculatorX mathematical conventions",
      "section": "Common (base 10), natural (base e), and real bases b > 0, b ≠ 1",
      "supports": "Unspecified antilog is common (base 10); custom bases may be in (0, 1)",
      "kind": "definition"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:05cd9c69b7de07af03b0a49f819608f37d7d4caafb23ac35d400f7e7bb58e157",
  "tier": "engine_tested",
  "verification": {
    "tests": {
      "passed": 33,
      "total": 33,
      "golden": 14,
      "boundary": 19,
      "property": 0
    },
    "contract_checks": {
      "passed": 5,
      "total": 5
    }
  },
  "evidence_core_generated_at": "2026-10-14T02:50:33.742Z",
  "rendered_at": "2026-10-22T08:54:35.079Z",
  "release_integrity": {
    "status": "verified",
    "scope": "workspace",
    "production_attestation_required": true,
    "calculation_version": "1.0.6",
    "artifacts": {
      "engine": "1.0.6",
      "page": "1.0.6",
      "capability": "1.0.6",
      "evidence": "1.0.6",
      "input_schema": "1.0.6",
      "output_schema": "1.0.6",
      "mcp_contract": "1.0.6"
    },
    "digests": {
      "input_schema_sha256": "e310142bf9f117afb5f812f0cfdf8363d1cc0964fcc5069447cb70a54ff0dd05",
      "output_schema_sha256": "449931cc55a5e14d805c273bb500e6df4752044f651c4223e19b18691fa96017",
      "evidence_sha256": "7c54c23552e69567fe599e50fcb54812d72405f1a060fde5b83d6defb3308558",
      "evidence_core_sha256": "7c54c23552e69567fe599e50fcb54812d72405f1a060fde5b83d6defb3308558",
      "capability_sha256": "c11f2413049d7d4a86a588993684439d7c2760af2c22614e3091a3cf22876862",
      "engine_sha256": "a664ae25cd2134de7de43a99352933043215473589aec38c9416508150cb1008",
      "mcp_contract_sha256": "a1a8617719bef45391ee6917dc1783a01de2eedf297e7596b3cb5017cd0e1560"
    },
    "contract_checks": {
      "total": 5,
      "passed": 5,
      "failed": 0,
      "items": [
        {
          "id": "release-artifacts-aligned",
          "status": "pass",
          "detail": "1.0.6"
        },
        {
          "id": "schema-output-required-declared",
          "status": "pass"
        },
        {
          "id": "schema-valid-input-executes",
          "status": "pass"
        },
        {
          "id": "engine-success-output-validates-schema",
          "status": "pass"
        },
        {
          "id": "rest-success-payload-validates-schema",
          "status": "pass"
        }
      ]
    },
    "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
  },
  "tests": [],
  "disclosure": {
    "policy": "calculatorx-public-evidence-v1",
    "full_validation": "private",
    "representation": "summary"
  }
}
